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Finding the Fourth Proportional to 5,277.56, 7,917.15 and 1,814

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Solution

The fourth proportional to 5,277.56, 7,917.15 and 1,814 is: 2,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.56 : 7,917.15 = 1,814 : x
  2. Step 2: Convert to fraction form
    5,277.56/7,917.15 = 1,814/x
  3. Step 3: Cross multiply
    5,277.56x = 7,917.15 × 1,814
  4. Step 4: Simplify right side
    5,277.56x = 14,361,710.10
  5. Step 5: Solve for x
    x = 14,361,710.10/5,277.56
  6. Step 6: Final answer
    x = 2,721.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.